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Finding the Third Proportional to 10,289.25 and 14,785.88

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Solution

The third proportional to 10,289.25 and 14,785.88 is: 21,247.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.25 : 14,785.88 = 14,785.88 : x
  2. Step 2: Convert to fraction form
    10,289.25/14,785.88 = 14,785.88/x
  3. Step 3: Cross multiply
    10,289.25x = 14,785.88 × 14,785.88
  4. Step 4: Simplify right side
    10,289.25x = 218,622,099.52
  5. Step 5: Solve for x
    x = 218,622,099.52/10,289.25
  6. Step 6: Final answer
    x = 21,247.62

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.